1.Calculate the lower bound of a 95% confidence interval for the sample proportion for the given data (round your answer to 4 decimal places):

Population proportion = 70%

Number of people from sample who said they play video games = 42

Sample size = 50

2.Conduct a hypothesis test based on the following information using a significance level of 5%:

Research Question: Is the proportion of males enjoy video sames less than the proportion of females how enjoy video games?

Group 1 = Males

Group 2 = Females

Test statistic = -2.13

Group 1 Sample size = 76

Group 2 Sample size = 64

Group of answer choices

a. Fail to reject the alternative hypothesis

b. Reject the alternative hypothesis

c. Fail to reject the null hypothesis

d. Reject the null hypothesis

3.Select the appropriate null and alternative hypothesis for the following research question:

Do people enjoy playing video games less than playing sports?

phat1 = proportion of people who enjoy playing video games more than sports

phat2 = proportion of people who enjoy playing sports more than video games

Group of answer choices

Null Hypothesis:

People enjoy playing video games more than playing sports i.e.phat1 > phat2

Alternative Hypothesis:

People enjoy playing video games less than or equal to playing sports i.e.phat1 <= phat2

Null Hypothesis:

People enjoy playing video games a different amount than playing sports i.e.phat1 =\= phat2

Alternative Hypothesis:

People enjoy playing video games the same as playing sports i.e.phat1 = phat2

Null Hypothesis:

People enjoy playing video games the same as playing sports i.e.phat1 = phat2

Alternative Hypothesis:

People enjoy playing video games a different amount than playing sports i.e.phat1 =/= phat2

Null Hypothesis:

People enjoy playing video games less than playing sports i.e.phat1 < phat2

Alternative Hypothesis:

People enjoy playing video games more than or equal to playing sports i.e.phat1 >= phat2

Null Hypothesis:

People enjoy playing video games less than or equal to playing sports i.e.phat1 <= phat2

Alternative Hypothesis:

People enjoy playing video games more than playing sports i.e.phat1 > phat2

Null Hypothesis:

People enjoy playing video games more than or equal to playing sports i.e.phat1 >= phat2

Alternative Hypothesis:

People enjoy playing video games less than playing sports i.e.phat1 < phat2