In a previous poll, 46% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 515 of 1172 adults with...


In a previous poll, 46% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent<br>poll, 515 of 1172 adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the<br>proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased? Use the a= 0.05 significance level.<br>Because npo (1- Po) =<br>V 10 and the sample size is<br>V 5% of the population size, and the sample<br>v the requirements for testing the hypothesis<br>v satisfied.<br>(Round to one decimal place as needed.)<br>What are the null and alternative hypotheses?<br>Ho:<br>versus H,<br>(Type integers or decimals. Do not round.)<br>Find the test statistic, Zo-<br>Zo<br>(Round to two decimal places as needed.)<br>Find the P-value.<br>P-value =<br>(Round to three decimal places as needed.)<br>Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased? Choose<br>the correct answer below.<br>O A. No, there is not sufficient evidence because the P-value is greater than the level of significance. Therefore, do not reject the null hypothesis.<br>O B. Yes, there is sufficient evidence because the P-value is greater than the level of significance. Therefore, reject the null hypothesis.<br>OC. Yes, there is sufficient evidence because the P-value is greater than the level of significance. Therefore, do not reject the null hypothesis.<br>O D. No, there is not sufficient evidence because the P-value is greater than the level of significance. Therefore, reject the null hypothesis.<br>

Extracted text: In a previous poll, 46% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 515 of 1172 adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased? Use the a= 0.05 significance level. Because npo (1- Po) = V 10 and the sample size is V 5% of the population size, and the sample v the requirements for testing the hypothesis v satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? Ho: versus H, (Type integers or decimals. Do not round.) Find the test statistic, Zo- Zo (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased? Choose the correct answer below. O A. No, there is not sufficient evidence because the P-value is greater than the level of significance. Therefore, do not reject the null hypothesis. O B. Yes, there is sufficient evidence because the P-value is greater than the level of significance. Therefore, reject the null hypothesis. OC. Yes, there is sufficient evidence because the P-value is greater than the level of significance. Therefore, do not reject the null hypothesis. O D. No, there is not sufficient evidence because the P-value is greater than the level of significance. Therefore, reject the null hypothesis.
Jun 03, 2022
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