Assuming the requirements are met for the anchovies study and using a significance level of 10%, the researcher wants to test the claim that the proportion of teenagers (ages 13-19) who dislike anchovies is different than the proportion of young adults (ages 20-30) who dislike anchovies. What is the correct conclusion for this hypothesis test? O As the P-value is less than a, we reject the null hypothesis. Thus, there is sufficient evidence to conclude that the proportion of teenagers (ages 13-19) who dislike anchovies is different than the proportion of young adults (ages 20- 30) who dislike anchovies. O As the P-value is less than a, we reject the null hypothesis. Thus, there is insufficient evidence to conclude that the proportion of teenagers (ages 13-19) who dislike anchovies is different than the proportion of young adults (ages 20- 30) who dislike anchovies. O As the P-value is less than a, we fail to reject the null hypothesis. Thus, there is sufficient evidence to conclude that the proportion of teenagers (ages 13-19) who dislike anchovies is different than the proportion of young adults (ages 20- 30) who dislike anchovies. O As the P-value is less than a, we fail to reject the null hypothesis. Thus, there is insufficient evidence to conclude that the proportion of teenagers (ages 13-19) who dislike anchovies is different than the proportion of young adults (ages 20- 30) who dislike anchovies. O As the P-value is greater than a, we reject the null hypothesis. Thus, there is sufficient evidence to conclude that the proportion of teenagers (ages 13-19) who dislike anchovies is different than the proportion of young adults (ages 20- 30) who dislike anchovies. O As the P-value is greater than a, we reject the null hypothesis. Thus, there is insufficient evidence to conclude that the proportion of teenagers (ages 13-19) who dislike anchovies is different than the proportion of young adults (ages 20- 30) who dislike anchovies. O As the P-value is greater than a, we fail to reject the null hypothesis. Thus, there is sufficient evidence to conclude that the proportion of teenagers (ages 13-19) who dislike anchovies is different than the proportion of young adults (ages 20- 30) who dislike anchovies. O As the P-value is greater than a, we fail to reject the null hypothesis. Thus, there is insufficient evidence to conclude that the proportion of teenagers (ages 13-19) who dislike anchovies is different than the proportion of young adults (ages 20- 30) who dislike anchovies.

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A study is planned to compare the proportion of teenagers (ages 13–19) who dislike anchovies with the proportion of young adults (ages 20–30) who dislike anchovies. A random sample of 41 teenagers was taken, and 78% of them disliked anchovies. A random sample of 56 young adults was also taken, and 71% of them disliked anchovies. Difference = Teenagers - Young Adults The picture below is the question. Use the information above to help.
Assuming the requirements are met for the anchovies study and using a
significance level of 10%, the researcher wants to test the claim that the
proportion of teenagers (ages 13-19) who dislike anchovies is different than
the proportion of young adults (ages 20-30) who dislike anchovies.
What is the correct conclusion for this hypothesis test?
O As the P-value is less than a, we reject the null hypothesis. Thus, there is
sufficient evidence to conclude that the proportion of teenagers (ages 13-19)
who dislike anchovies is different than the proportion of young adults (ages 20-
30) who dislike anchovies.
O As the P-value is less than a, we reject the null hypothesis. Thus, there is
insufficient evidence to conclude that the proportion of teenagers (ages 13-19)
who dislike anchovies is different than the proportion of young adults (ages 20-
30) who dislike anchovies.
O As the P-value is less than a, we fail to reject the null hypothesis. Thus, there is
sufficient evidence to conclude that the proportion of teenagers (ages 13-19)
who dislike anchovies is different than the proportion of young adults (ages 20-
30) who dislike anchovies.
O As the P-value is less than a, we fail to reject the null hypothesis. Thus, there is
insufficient evidence to conclude that the proportion of teenagers (ages 13-19)
who dislike anchovies is different than the proportion of young adults (ages 20-
30) who dislike anchovies.
O As the P-value is greater than a, we reject the null hypothesis. Thus, there is
sufficient evidence to conclude that the proportion of teenagers (ages 13-19)
who dislike anchovies is different than the proportion of young adults (ages 20-
30) who dislike anchovies.
O As the P-value is greater than o, we reject the null hypothesis. Thus, there is
insufficient evidence to conclude that the proportion of teenagers (ages 13-19)
who dislike anchovies is different than the proportion of young adults (ages 20-
30) who dislike anchovies.
O As the P-value is greater than a, we fail to reject the null hypothesis. Thus, there is
sufficient evidence to conclude that the proportion of teenagers (ages 13-19)
who dislike anchovies is different than the proportion of young adults (ages 20-
30) who dislike anchovies.
O As the P-value is greater than xx, we fail to reject the null hypothesis. Thus, there
is insufficient evidence to conclude that the proportion of teenagers (ages 13-19)
who dislike anchovies is different than the proportion of young adults (ages 20-
30) who dislike anchovies.
Transcribed Image Text:Assuming the requirements are met for the anchovies study and using a significance level of 10%, the researcher wants to test the claim that the proportion of teenagers (ages 13-19) who dislike anchovies is different than the proportion of young adults (ages 20-30) who dislike anchovies. What is the correct conclusion for this hypothesis test? O As the P-value is less than a, we reject the null hypothesis. Thus, there is sufficient evidence to conclude that the proportion of teenagers (ages 13-19) who dislike anchovies is different than the proportion of young adults (ages 20- 30) who dislike anchovies. O As the P-value is less than a, we reject the null hypothesis. Thus, there is insufficient evidence to conclude that the proportion of teenagers (ages 13-19) who dislike anchovies is different than the proportion of young adults (ages 20- 30) who dislike anchovies. O As the P-value is less than a, we fail to reject the null hypothesis. Thus, there is sufficient evidence to conclude that the proportion of teenagers (ages 13-19) who dislike anchovies is different than the proportion of young adults (ages 20- 30) who dislike anchovies. O As the P-value is less than a, we fail to reject the null hypothesis. Thus, there is insufficient evidence to conclude that the proportion of teenagers (ages 13-19) who dislike anchovies is different than the proportion of young adults (ages 20- 30) who dislike anchovies. O As the P-value is greater than a, we reject the null hypothesis. Thus, there is sufficient evidence to conclude that the proportion of teenagers (ages 13-19) who dislike anchovies is different than the proportion of young adults (ages 20- 30) who dislike anchovies. O As the P-value is greater than o, we reject the null hypothesis. Thus, there is insufficient evidence to conclude that the proportion of teenagers (ages 13-19) who dislike anchovies is different than the proportion of young adults (ages 20- 30) who dislike anchovies. O As the P-value is greater than a, we fail to reject the null hypothesis. Thus, there is sufficient evidence to conclude that the proportion of teenagers (ages 13-19) who dislike anchovies is different than the proportion of young adults (ages 20- 30) who dislike anchovies. O As the P-value is greater than xx, we fail to reject the null hypothesis. Thus, there is insufficient evidence to conclude that the proportion of teenagers (ages 13-19) who dislike anchovies is different than the proportion of young adults (ages 20- 30) who dislike anchovies.
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