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7.  A 2024 headline in the New York Daily News stated “Majority of Catholics Support Abortion Rights.”  This headline was based on a 2023 study by Pew research which stated that more than 60% of adult American Catholics favored legal abortion.  Spcifically 381 out of 624 randomly selected adult American Catholics said that they favored legal abortion.  Conduct a test of hypothesis to determine if this data (381 out of 624) shows that the population proportion of adult American Catholics who favor legal abortion is more than 0.60. (While answering the following sub-parts of this question, you will be including the null and alternative hypothesis, the test statistic, the p-value (a visualization and an interpretation), your statistical decision, and your conclusion in the context of the problem.) (c) Interpret the p-value for Step 3 of the hypothesis test.

7.  A 2024 headline in the New York Daily News stated “Majority of Catholics Support Abortion Rights.”  This headline was based on a 2023 study by Pew research which stated that more than 60% of adult American Catholics favored legal abortion.  Spcifically 381 out of 624 randomly selected adult American Catholics said that they favored legal abortion.  Conduct a test of hypothesis to determine if this data (381 out of 624) shows that the population proportion of adult American Catholics who favor legal abortion is more than 0.60. (While answering the following sub-parts of this question, you will be including the null and alternative hypothesis, the test statistic, the p-value (a visualization and an interpretation), your statistical decision, and your conclusion in the context of the problem.) (c)  What area of the z-distribution should be shaded for the p-value in Step 3 of the hypothesis test?

9.  A 2016 headline read “FSU is the Most Sleep Deprived University.”  Do students sleep more at UF or FSU?  A study was designed to estimate the difference in the number of hours students sleep per night and the summary statistics for the following two universities is given below: University of Florida (UF):       n=207       sample mean = 7.59       s = 1.65 Florida State University (FSU):       n=164       sample mean = 7.13       s = 1.61 Does the data show that the population mean number of hours that UF students sleep per night is significantly different from the population mean number of hours that FSU students sleep per night?  (While answering the following sub-parts of this question, you will be including the null and alternative hypothesis, the test statistic, the p-value (a visualization and an interpretation), your statistical decision, and your conclusion in the context of the problem.) (d) What is the correct statistical decision for Step 4 of the hypothesis test?

7.  A 2024 headline in the New York Daily News stated “Majority of Catholics Support Abortion Rights.”  This headline was based on a 2023 study by Pew research which stated that more than 60% of adult American Catholics favored legal abortion.  Spcifically 381 out of 624 randomly selected adult American Catholics said that they favored legal abortion.  Conduct a test of hypothesis to determine if this data (381 out of 624) shows that the population proportion of adult American Catholics who favor legal abortion is more than 0.60. (While answering the following sub-parts of this question, you will be including the null and alternative hypothesis, the test statistic, the p-value (a visualization and an interpretation), your statistical decision, and your conclusion in the context of the problem.) (e) What is the conclusion in the context of the problem for Step 5 of the hypothesis test?

9.  A 2016 headline read “FSU is the Most Sleep Deprived University.”  Do students sleep more at UF or FSU?  A study was designed to estimate the difference in the number of hours students sleep per night and the summary statistics for the following two universities is given below: University of Florida (UF):       n=207       sample mean = 7.59       s = 1.65 Florida State University (FSU):       n=164       sample mean = 7.13       s = 1.61 Does the data show that the population mean number of hours that UF students sleep per night is significantly different from the population mean number of hours that FSU students sleep per night?  (While answering the following sub-parts of this question, you will be including the null and alternative hypothesis, the test statistic, the p-value (a visualization and an interpretation), your statistical decision, and your conclusion in the context of the problem.) (a) Which of the following best represents the hypothesis for Step 1 of the hypothesis test?

7.  A 2024 headline in the New York Daily News stated “Majority of Catholics Support Abortion Rights.”  This headline was based on a 2023 study by Pew research which stated that more than 60% of adult American Catholics favored legal abortion.  Spcifically 381 out of 624 randomly selected adult American Catholics said that they favored legal abortion.  Conduct a test of hypothesis to determine if this data (381 out of 624) shows that the population proportion of adult American Catholics who favor legal abortion is more than 0.60. (While answering the following sub-parts of this question, you will be including the null and alternative hypothesis, the test statistic, the p-value (a visualization and an interpretation), your statistical decision, and your conclusion in the context of the problem.) (a) What type of hypothesis test is this (think Step 1)?

8.  A 2024 headline in the New York Daily News stated “Majority of Catholics Support Abortion Rights.”  This headline was based on a 2023 study by Pew research which stated that more than 60% of adult American Catholics favored legal abortion.  Spcifically 381 out of 624 randomly selected adult American Catholics said that they favored legal abortion.  Construct and interpret a 95% confidence interval for the population proportion of adult American Catholics who favor legal abortion. (e) What is the upper bound of the 95% confidence interval?

11. In 2024, American College Testing, Inc. (ACT) reported that the mean ACT score in the poulation was 19.4.  A random sample of 41 Santa Fe (SF) college students showed the average ACT score to be 21.2 with a standard deviation of 5.82.  Test the hypothesis that SF students have an ACT score that is more than 19.4.  (While answering the following sub-parts of this question, you will be including the null and alternative hypothesis, the test statistic, the p-value (a visualization and an interpretation), your statistical decision, and your conclusion in the context of the problem.) (c) Interpret the p-value for Step 3 of the hypothesis test.

5. A professor at Santa Fe College for STA2023 collected data from one of her classes in the Fall of 2025 to investigate the relationship between study time per week (average number of hours) and college GPA. The data for males in her class is given below: Study hours per week 5 6 11 11 12 16 20 25 GPA (grade point average) 2.5 2.8 3.0 3.2 3.3 3.5 3.6 3.7 Find the equation of the regression line using the least squares approach.  You may use the appropriate procedure in your calculator to help you find the solution.  Clearly label, the slope, the y-intercept and the regression equation. (b) What is the y-intercept?

7.  A 2024 headline in the New York Daily News stated “Majority of Catholics Support Abortion Rights.”  This headline was based on a 2023 study by Pew research which stated that more than 60% of adult American Catholics favored legal abortion.  Spcifically 381 out of 624 randomly selected adult American Catholics said that they favored legal abortion.  Conduct a test of hypothesis to determine if this data (381 out of 624) shows that the population proportion of adult American Catholics who favor legal abortion is more than 0.60. (While answering the following sub-parts of this question, you will be including the null and alternative hypothesis, the test statistic, the p-value (a visualization and an interpretation), your statistical decision, and your conclusion in the context of the problem.) (c)  What is the p-value for Step 3 of the hypothesis test?