A survey claims that 7 out of 10 customers recommend Western Drugs for pharmacy issues.To test this claim, a random sample of 100 customers is obtained from the list of rewards customers.Of these 100 customers, 75 indicate that they recommend using Western Drugs for pharmacy needs.We would like to know if this claim is accurate.The null and alternative hypotheses are: A)H₀: p = 0.70 and H_A: p ≠ 0.70 B)H₀: p = 0.70 and H_A: p 0.75 C)H₀: p = 0.70 and H_A: p

Question

A survey claims that 7 out of 10 customers recommend Western Drugs for pharmacy issues.To test this claim, a random sample of 100 customers is obtained from the list of rewards customers.Of these 100 customers, 75 indicate that they recommend using Western Drugs for pharmacy needs.We would like to know if this claim is accurate.The null and alternative hypotheses are: A)H₀: p = 0.70 and H_A: p ≠ 0.70 B)H₀: p = 0.70 and H_A: p > 0.75 C)H₀: p = 0.70 and H_A: p < 0.70 D)H₀: p ≠ 0.70 and H_A: p = 0.70 E)H₀: p = 0.75 and H_A: p ≠ 0.75

Quizplus · Accepted Answer

The null hypothesis (H0) is a statement of no effect or no difference and is tested against the alternative hypothesis (H1 or Ha), which suggests a significant effect or difference. In this context, the claim that 7 out of 10 customers recommend the pharmacy translates to a population proportion (p) of 0.70. Thus, the null hypothesis is that the true proportion of customers who recommend the pharmacy is 0.70 (p = 0.70), and the alternative hypothesis is that the true proportion is not equal to 0.70 (p ≠ 0.70), indicating a two-tailed test for any difference from the claimed proportion.

A Survey Claims That 7 Out of 10 Customers Recommend