1) According to a 2016report, 38% of18-to-20-year-old students use credit cards for everyday purchases. Suppose a local bank believes that this share will increase over time because of shopping behaviors of students. To test thishypothesis, a random sample of 306 students wasselected, 140 of whom use credit cards for everyday purchases. Using =0.01, complete parts a through c.

a. State the null and alternative hypothesis.

Let p be the population proportion. Determine the nullhypothesis, H0, and the alternative hypothesis, H1.

H0: p

H1: p

(Type integers or decimals. Do not round.)

b. What conclusions can be drawn for this test?

Identify the critical value.

Calculate the appropriate test statistic.

What is the final conclusion?

A. Reject H0. There is not enough evidence to conclude that the proportion of students that use credit cards for everyday purchases has increased.

B. Reject H0. There is enough evidence to conclude that the proportion of students that use credit cards for everyday purchases has increased.

C. Do not reject H0. There is enough evidence to conclude that the proportion of students that use credit cards for everyday purchases has increased.

D. Do not reject H0. There is not enough evidence to conclude that the proportion of students that use credit cards for everyday purchases has increased.

c. Determine the p-value for this test and interpret its meaning.

2) A 2015 survey shows that 44% of Snapchat users are between 18 and 24 years old. Suppose afollow-up survey were recently conducted to investigate if the proportion had changed and that out of a random sample of 215 Snapchatusers, it found that 125 users were between 18 and 24 years old. Using =0.05, complete parts a through c.

a. State the null and alternative hypothesis.

Let p be the population proportion. Determine the nullhypothesis, H0, and the alternativehypothesis, H1.

H0:

H1 :

(Type integers or decimals. Do notround.)

b. What conclusions can be made about the proportion of Snapchatters between 18 and 24 years ofage?

Identify the critical value.

z/2 =

(Round to two decimal places asneeded.)

Calculate the appropriate test statistic.

zp=

(Round to two decimal places asneeded.)

What is the finalconclusion?

A.

Reject H0. There is enough evidence to conclude that the proportion of Snapchat users between 18 and 24 years old has changed.

B.

Donotreject H0. There isnot enough evidence to conclude that the proportion of Snapchat users between 18 and 24 years old has changed.

This is the correct answer.

C.

Donotreject H0. There is enough evidence to conclude that the proportion of Snapchat users between 18 and 24 years old has changed.

D.

Reject H0. There isnot enough evidence to conclude that the proportion of Snapchat users between 18 and 24 years old has changed.

Your answer is not correct.

c. Determine thep-value for this test and interpret its meaning.

p-value=

(Round to three decimal places asneeded.)

Interpret the meaning of thep-value. Choose the correct answer below.

A.

Reject H0. There is enough evidence to conclude that the proportion of Snapchat users between 18 and 24 years old has changed.

B.

Donotreject H0. There isnot enough evidence to conclude that the proportion of Snapchat users between 18 and 24 years old has changed.

This is the correct answer.

C.

Donotreject H0. There is enough evidence to conclude that the proportion of Snapchat users between 18 and 24 years old has changed.

D.

Reject H0. There isnot enough evidence to conclude that the proportion of Snapchat users between 18 and 24 years old has changed.

3)According to an investmentfirm, the average401(k) account balance was $102,000 in 2017. To test if this average has recentlychanged, suppose a sample of 30 401(k) plans was recentlyselected, and it was found that the average401(k) balance was $112,461. Assume that the population standard deviation is $26,956. Using =0.01, complete parts a through d.

a. State the null and alternative hypothesis.

Let be the population mean. Determine the nullhypothesis, H0, and the alternativehypothesis, H1.

H0:

H1:

(Type integers or decimals. Do not round. Do not include the$ symbol in youranswers.)

b. What conclusions can be drawn for thistest?

Identify the critical value.

(Round to two decimal places asneeded.)

Calculate the appropriate test statistic.

zx=

(Round to two decimal places asneeded.)

What is the finalconclusion?

A.

Reject H0. There is enough evidence to conclude that the average401(k) account balance has changed from $102,000

B.

Reject H0. There isnot enough evidence to conclude that the average401(k) account balance has changed from $102,000.

C.

Donotreject H0. There is enough evidence to conclude that the average401(k) account balance has changed from $102,000.

D.

Donotreject H0. There isnot enough evidence to conclude that the average401(k) account balance has changed from $102,000

. Determine thep-value for this test and interpret its meaning.

p-value=

(Round to three decimal places asneeded.)

Interpret the meaning of thep-value. Choose the correct answer below.

A.

Donotreject H0. There is enough evidence to conclude that the average401(k) account balance has changed from $102,000.

B.

Reject H0. There isnot enough evidence to conclude that the average401(k) account balance has changed from $102,000.

C.

Donotreject H0. There isnot enough evidence to conclude that the average401(k) account balance has changed from $102,000

This is the correct answer.

D.

Reject H0. There is enough evidence to conclude that the average401(k) account balance has changed from $102,000