Recall the survey you took during the first week of class. One of the questions was “do you agree that it is inappropriate to speak on a cellphone while at a restaurant?” Of the 1913 females that responded to the survey, 1729 agreed with this statement. Of the 1276 males that responded to this survey, 1111 agreed with this statement. Test to see if there is any difference between males and females with respect to how they feel about this issue. Use a significance level of .05.

State the appropriate null and alternative hypotheses.

Calculate the test statistic and report the p-value.

State your conclusion in context of the problem.

Based only on the results of the hypothesis test, would you expect a 95% confidence interval to include 0? Explain.

Calculate and interpret a 95% confidence interval for the difference between males and females.

c)  Reject  H_o  since there is sufficient evidence to suggest that there is difference between males and females with respect to how they feel about this issue.

d. No. Interval does not include zero

e.

We are 95% confident that the proportional difference lies between the [0.010444,0.05576] interval.

Step-by-step explanation:

a. The null hypothesis is that there is no difference between males and females with respect to how they feel about this issue:

-The alternative hypothesis is that there is some difference between males and females with respect to how they feel about this issue:

where is the proportion of males and females respectively.

b. The proportion of males and females in the study can be calculated as follows:

#We then calculate the test statistic using the formula:

c. Since p<0.05:

Hence, we Reject the Null Hypothesis since there is sufficient evidence to suggest that there is difference between males and females with respect to how they feel about this issue

d. The 95% confidence interval can be calculated as below:

Hence, the confidence interval does not include  0

e. The 95% confidence interval calculated from above is :

Hence, we are 95% confident that the proportional difference will fall between the interval

table 3 represents a direct variation function. : )