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Your interview a random sample of 50 adults. The results of the survey show that

ID: 3264318 • Letter: Y

Question

Your interview a random sample of 50 adults. The results of the survey show that 46% of the adults said they were more likely to buy a product when there are free samples At alpha = 0.01, can you reject the claim that at least 53% of the adults are more likely to buy a product when there a free samples? State the null and alternative hypotheses. Choose the correct answer below. A. H_0: p = 0.53 H_a: p notequalto 0.53 B. H_0: p lessthanorequalto 0.53 H_a: p > 0.53 C. H_0: p notequalto 0.53 H_a: p = 0.53 D. H_0: p greaterthanorequalto 0.53 H_a: p

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.53
HA : p < 0.53

Hypothesis test results:

Hence,

Hypotheses: Option D is correct.

Critical value = -2.33

z - test statistic = -0.99

Result: Option B is correct.

Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 23 50 0.46 0.070583284 -0.99173623 0.1607