Author Question: A poll of 1,068 adult Americans reveals that 48 of the voters surveyed prefer the Democratic ... (Read 64 times)

mynx · **on:** Aug 2, 2018

A poll of 1,068 adult Americans reveals that 48 of the voters surveyed prefer the Democratic candidate for the presidency.

At the 0.05 level of significance, test the claim that at least half of all voters prefer the Democrat.

Question 2

According to a recent poll 53 of Americans would vote for the incumbent president.

If a random sample of 100 people results in 45 who would vote for the incumbent, test the claim that the actual percentage is 53. Use a 0.10 significance level.

Question 3

The participants in a television quiz show are picked from a large pool of applicants with approximately equal numbers of qualified men and women.

Among the last 90 participants there have been only 37 women. If there is no discrimination based on gender, what is the probability of getting 37 or fewer women when 90 people are picked? Is there evidence to suggest that the show is discriminating based on gender? Use a cut-off of 0.05 to distinguish between likely and unlikely events.
A) 0.0367; yes B) 0.9429; no C) 0.0571; no D) 0.0455; yes

moormoney · **Reply #1 on:** Aug 2, 2018

Answer to Question 1

: p = 0.5. : p < 0.5. Test statistic: z = -1.31. P-value: p = 0.0951.
Critical value: z = -1.645. Fail to reject null hypothesis. There is not sufficient evidence to warrant rejection of the claim that at least half of all voters prefer the Democrat.

Answer to Question 2

Beautifully done Thanks

Answer to Question 3

C