A dietician read in a survey that 70.5% of adults in the U.S. do not eat breakfast at least 3 days a week. She believes that the proportion that skip breakfast 3 days a week is different than 0.705. To verify her claim, she selects a random sample of 71 adults and asks them how many days a week they skip breakfast. 44 of them report that they skip breakfast at least 3 days a week. Test her claim at a = 0.10.

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A dietician read in a survey that 70.5% of adults in the U.S. do not eat breakfast at least 3 days a week. She believes that the proportion that skip breakfast 3 days a week is different from 0.705. To verify her claim, she selects a random sample of 71 adults and asks them how many days a week they skip breakfast. 44 of them report that they skip breakfast at least 3 days a week. Test her claim at α = 0.10.

The correct hypotheses would be:
- \( H_0: p = 0.705 \)
- \( H_A: p \neq 0.705 \) (claim)

Since the level of significance is 0.10, the critical value is 1.645 and -1.645.

The test statistic is: [textbox] (round to 3 places)

The p-value is: [textbox] (round to 3 places)

The decision can be made to:
- ○ reject \( H_0 \)
- ○ do not reject \( H_0 \)

The final conclusion is that:
- ○ There is enough evidence to reject the claim that the proportion that skip breakfast 3 days a week is different than 0.705.
- ○ There is not enough evidence to reject the claim that the proportion that skip breakfast 3 days a week is different than 0.705.
- ○ There is enough evidence to support the claim that the proportion that skip breakfast 3 days a week is different than 0.705.
- ○ There is not enough evidence to support the claim that the proportion that skip breakfast 3 days a week is different than 0.705.
Transcribed Image Text:A dietician read in a survey that 70.5% of adults in the U.S. do not eat breakfast at least 3 days a week. She believes that the proportion that skip breakfast 3 days a week is different from 0.705. To verify her claim, she selects a random sample of 71 adults and asks them how many days a week they skip breakfast. 44 of them report that they skip breakfast at least 3 days a week. Test her claim at α = 0.10. The correct hypotheses would be: - \( H_0: p = 0.705 \) - \( H_A: p \neq 0.705 \) (claim) Since the level of significance is 0.10, the critical value is 1.645 and -1.645. The test statistic is: [textbox] (round to 3 places) The p-value is: [textbox] (round to 3 places) The decision can be made to: - ○ reject \( H_0 \) - ○ do not reject \( H_0 \) The final conclusion is that: - ○ There is enough evidence to reject the claim that the proportion that skip breakfast 3 days a week is different than 0.705. - ○ There is not enough evidence to reject the claim that the proportion that skip breakfast 3 days a week is different than 0.705. - ○ There is enough evidence to support the claim that the proportion that skip breakfast 3 days a week is different than 0.705. - ○ There is not enough evidence to support the claim that the proportion that skip breakfast 3 days a week is different than 0.705.
Expert Solution
Step 1

It is need to be tested whether the population proportion of adults in U.S who do not eat breakfast at least 3 times in a week is different from 0.705 or not. This implies that test is two tail.

 

Thus, third option correct and hypothesis is,

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