The mother of a teenager has heard a claim that 25% of teenagers who drive and use a cell phone reported texting while driving. She thinks that this rate is too high and wants to test the hypothesis that fewer than 25% of these drivers have texted while driving. She polls 40 randomly selected teenagers and 5 of them report having texted while driving. Use a 0.05 significance level to test the mother's claim. 6. Show all of your work. a) State the null and alternative hypotheses. b) Identify the test statistic. Round to three decimal places. c) Identify the P-value. Round to three decimal places. d) Should you reject or fail to reject the null hypothesis? Explain. e) State the final conclusion that addresses the original claim.

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Hi i need help with 6 - a,b,c,d,e
6.
The mother of a teenager has heard a claim that 25% of teenagers who drive and use a cell phone reported
texting while driving. She thinks that this rate is too high and wants to test the hypothesis that fewer than 25%
of these drivers have texted while driving. She polls 40 randomly selected teenagers and 5 of them report having
texted while driving. Use a 0.05 significance level to test the mother's claim.
Show all of your work.
a) State the null and alternative hypotheses.
b) Identify the test statistic. Round to three decimal places.
c) Identify the P-value. Round to three decimal places.
d) Should you reject or fail to reject the null hypothesis? Explain.
e) State the final conclusion that addresses the original claim.
1
Transcribed Image Text:6. The mother of a teenager has heard a claim that 25% of teenagers who drive and use a cell phone reported texting while driving. She thinks that this rate is too high and wants to test the hypothesis that fewer than 25% of these drivers have texted while driving. She polls 40 randomly selected teenagers and 5 of them report having texted while driving. Use a 0.05 significance level to test the mother's claim. Show all of your work. a) State the null and alternative hypotheses. b) Identify the test statistic. Round to three decimal places. c) Identify the P-value. Round to three decimal places. d) Should you reject or fail to reject the null hypothesis? Explain. e) State the final conclusion that addresses the original claim. 1
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