# Test the claim that the proportion of people who own cats is significantly different than 80% at the0.02 significance level.The null and alternative hypothesis would be:Ho:µ < 0.8 Ho:p< 0.8 Ho:µ > 0.8 Ho:p= 0.8 Ho:µ = 0.8 Ho:p > 0.8H1:µ > 0.8 H1:p > 0.8 H1:µ < 0.8 H1:p 0.8 H1:µ + 0.8 H1:p < 0.8The test is:two-tailed right-tailed left-tailedBased on a sample of 100 people, 84% owned cats(to 2 decimals)The p-value is:Based on this we:Fail to reject the null hypothesisReject the null hypothesis

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Step 1

Here, the claim is that the proportion of people who own cats is significantly different than 80%.

The test hypotheses are given below:

Step 2

cats is significantly different than 80%. That is, the alternative hypothesis state no direction. Moreover, “≠” symbol in alternative hypothesis. Hence, the test is two-tailed test.

The test statistic is obtained as follows:

Step 3

Thus, the test statistic is 1.

p-value:

Step-by-step procedure to obtain the p-value using MINITAB:

• Choose Graph > Probability Distribution Plot choose View Probability > OK.
• From Distribution, choose ‘Normal’ distribution.
• Choose X-value and Both Tail for the region of the curve to shade.
• Enter the d...

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