According to a report done by the dental industry, 82% or more of dentists would recommend Starry Whites toothpaste. Valtteri investigates the truth of that claim by choosing 145 dentists at random...

Extracted text: According to a report done by the dental industry, 82% or more of dentists would recommend Starry Whites toothpaste. Valtteri investigates the truth of that claim by choosing 145 dentists at random and asking them whether or not they'd recommend the brand. Of those, 108 said they'd recommend it. 国 Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the o.10 level of significance, to reject the claim that the proportion, p, of all dentists who would recommend the brand is s2% or more. (a) State the null hypothesis iH, and the alternative hypothesis ", that you would use for the test. H: 0 O-0 (b) For your hypothesis test, you will use a z-test. Find the values of ep and n(1-p) to confirm that a z-test can be used. (One standard is that wp2 10 and »(1-p)2 10 under the assumption that the null hypothesis is true.) Here » is the sample size and p is the population proportion you are testing. np-0 n(1-p)-0 ( Perform a z-test and find the p-value. Here is some information to help you with your z-test. • The value of the test statistic is given by P p(1-p) • The p-value is the area under the curve to the left of the value of the test statistic. Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-taled Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the aren represented by the p-value Step 4: Enter the pvalue. (Round to 3 decimal places) (d) Based on your answer to part (c), choose what can be concluded, at the o.10 level of significance, about the claim made in the report. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to reject the claim that 82% or more of dentists would recommend the brand. O Since the g-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to reject the claim that 82% or more of dentists would recommend the brand. O Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to reject the claim that 82% or more of dentists would recommend the brand. Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to reject the claim that 82% or more of dentists would recommend the brand.