The manufacturer of a new chewing gum claims that at least 80% of dentists surve

Question

The manufacturer of a new chewing gum claims that at least 80% of dentists surveryed prefer their type of gum and reccomend it to their patients who chew gum. an independent consumer research firm decides to test their claim. The findings in a sample of dentists indicate that 74.1% of the respondents do actually prefer their gum. Which of the following statements is most accurate? A) Reject the null hypothesis at alpha = 0.1, but not at 0.05 B) Reject the null hypothesis at alpha = 0.05 C) Unable to reject the null hypothesis at alpha is < or = 0.10 D) Reject the null hypothesis at alpha = 0.01

Explanation / Answer

Ans:

Test statistic:

z=(0.741-0.80)/sqrt(0.80*(1-0.80)/200)

z=-2.09

P(z<-2.09)=0.0185

As,p-value<0.05,so we reject the null hypothesis at alpha=0.05.

Option B is correct.

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